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3 years ago

5

Find the value of x to make the following expression true. 3x=729

2 answers:

Zolol [24]3 years ago

8 0

Answer: x=243

Step-by-step explanation: Long division, 729 divided by 3

ohaa [14]3 years ago

6 0

The value of x is 243
(correct me if wrong)

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Solve the following inequality for dd. Write your answer in simplest form. −7d−3>2d-10

LUCKY_DIMON [66]

Answer:

d < 7/9

Step-by-step explanation:

Add 7d +10

7 > 9d

Divide by 9

7/9 > d

3 0

3 years ago

PLEASE HELP ME! I'v tried but still haven't got it!

spayn [35]

Answer:

Step-by-step explanation:

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3 years ago

Х- а<br>x-b<br>If f(x) = b.x-a÷b-a + a.x-b÷a - b<br>Prove that: f (a) + f(b) = f (a + b)

GenaCL600 [577]

Given:

Consider the given function:

$f(x)=\dfrac{b\cdot(x-a)}{b-a}+\dfrac{a\cdot(x-b)}{a-b}$

To prove:

$f(a)+f(b)=f(a+b)$

Solution:

We have,

$f(x)=\dfrac{b\cdot(x-a)}{b-a}+\dfrac{a\cdot (x-b)}{a-b}$

Substituting $x=a$ , we get

$f(a)=\dfrac{b\cdot(a-a)}{b-a}+\dfrac{a\cdot (a-b)}{a-b}$

$f(a)=\dfrac{b\cdot 0}{b-a}+\dfrac{a}{1}$

$f(a)=0+a$

$f(a)=a$

Substituting $x=b$ , we get

$f(b)=\dfrac{b\cdot(b-a)}{b-a}+\dfrac{a\cdot (b-b)}{a-b}$

$f(b)=\dfrac{b}{1}+\dfrac{a\cdot 0}{a-b}$

$f(b)=b+0$

$f(b)=b$

Substituting $x=a+b$ , we get

$f(a+b)=\dfrac{b\cdot(a+b-a)}{b-a}+\dfrac{a\cdot (a+b-b)}{a-b}$

$f(a+b)=\dfrac{b\cdot (b)}{b-a}+\dfrac{a\cdot (a)}{-(b-a)}$

$f(a+b)=\dfrac{b^2}{b-a}-\dfrac{a^2}{b-a}$

$f(a+b)=\dfrac{b^2-a^2}{b-a}$

Using the algebraic formula, we get

$f(a+b)=\dfrac{(b-a)(b+a)}{b-a}$ $[\because b^2-a^2=(b-a)(b+a)]$

$f(a+b)=b+a$

$f(a+b)=a+b$ [Commutative property of addition]

Now,

$LHS=f(a)+f(b)$

$LHS=a+b$

$LHS=f(a+b)$

$LHS=RHS$

Hence proved.

5 0

2 years ago

Which of the following ratios would form a proportion with 4/5?

BabaBlast [244]

Answer:

Can you explain clearer?

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

21 and 22 are complementary angles. The measure of Z1 is 60°.

levacccp [35]

Answer:

15

Step-by-step explanation:

We assume you mean that ...

∠1 + ∠2 = 90°

60° + 2x° = 90° . . . . given values for the angles

2x° = 30° . . . . . . . . . .subtract 60°

x = 15

4 0

3 years ago